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Simplifying 18z + -6 + -3z + 27 = 10z + 10 Reorder the terms: -6 + 27 + 18z + -3z = 10z + 10 Combine like terms: -6 + 27 = 21 21 + 18z + -3z = 10z + 10 Combine like terms: 18z + -3z = 15z 21 + 15z = 10z + 10 Reorder the terms: 21 + 15z = 10 + 10z Solving 21 + 15z = 10 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 21 + 15z + -10z = 10 + 10z + -10z Combine like terms: 15z + -10z = 5z 21 + 5z = 10 + 10z + -10z Combine like terms: 10z + -10z = 0 21 + 5z = 10 + 0 21 + 5z = 10 Add '-21' to each side of the equation. 21 + -21 + 5z = 10 + -21 Combine like terms: 21 + -21 = 0 0 + 5z = 10 + -21 5z = 10 + -21 Combine like terms: 10 + -21 = -11 5z = -11 Divide each side by '5'. z = -2.2 Simplifying z = -2.2
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